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14099005440 = 214325131471
BaseRepresentation
bin11010010000101110…
…11100000000000000
31100101120202200111200
431020113130000000
5212333321133230
610251010341200
71006246366062
oct151027340000
940346680450
1014099005440
115a85580513
12289588a800
131438c94a90
1497a6c9732
15577b8d160
hex3485dc000

14099005440 has 360 divisors, whose sum is σ = 52670462208. Its totient is φ = 3468165120.

The previous prime is 14099005379. The next prime is 14099005477. The reversal of 14099005440 is 4450099041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14099005395 and 14099005404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9583905 + ... + 9585375.

Almost surely, 214099005440 is an apocalyptic number.

14099005440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14099005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26335231104).

14099005440 is an abundant number, since it is smaller than the sum of its proper divisors (38571456768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14099005440 is a wasteful number, since it uses less digits than its factorization.

14099005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14099005440 in words is "fourteen billion, ninety-nine million, five thousand, four hundred forty".